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Finding the Third Proportional to 149,543.94 and 229,859.38

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Solution

The third proportional to 149,543.94 and 229,859.38 is: 353,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543.94 : 229,859.38 = 229,859.38 : x
  2. Step 2: Convert to fraction form
    149,543.94/229,859.38 = 229,859.38/x
  3. Step 3: Cross multiply
    149,543.94x = 229,859.38 × 229,859.38
  4. Step 4: Simplify right side
    149,543.94x = 52,835,332,275.39
  5. Step 5: Solve for x
    x = 52,835,332,275.39/149,543.94
  6. Step 6: Final answer
    x = 353,309.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.